Simplify. (x9y4)(−8xy2)(−7x3)
1 answer:
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Answer:
Area = 7 square units
Perimeter = 14 units
Step-by-step explanation:
The shape is made up of 7 identical squares and, we are told the side length of each square is 1 unit.
==>Find area of the shape by calculating the area of 1 square, then multiply by the number of square used in the construction.
Thus, area of 1 square = s² = 1² = 1 square units.
Area of shape = 7 × 1 square units = 7 square units
==>Find the Perimeter of the shape by adding all the lengths of the boundary formed by the square to make up the shape.
(Check attachment to understand how we got the measurement of the boundary)
<em>The perimeter = 1 + 1 + 1 + ½ + ½ + 1 + 1 + 1½ + ½ + 1 + 1 + 4 = 14 units</em>
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Answer: The confidence interval is 1.69ppb±0.055
Step-by-step explanation:
To find the confidence interval, first find the z* which is the appropriate z*-value related to the confidence interval of preference. As in this is 95%, z*-value = 1.96 (Note: The value is from the standard normal Z distribution).
With the z*-value, multiply by the division of the standard deviation and the square root of the sample size:
z*-value . σ/√n = 1.96 · = 0.055
The 95% confidence interval of the sample mean of 1.69 ppb is 1.69ppb±0.055ppb